Generalized waveguide bifurcation problems

Diffraction problems are formulated for three bifurcated waveguides whose various surfaces are characterized by impedance boundary conditions. Each problem is examined to see if it, or a subproblem, is explicitly solvable by current Wiener-Hopf techniques. A table of such solvable, but hitherto not solved problems is presented and it is indicated whether scalar or matrix Wiener-Hopf factorization is required.